%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : GEO482+1 : TPTP v9.3.1. Released v7.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n005.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Tue Sep 29 09:52:46 AM UTC 2026
% Result : Theorem 31.17s 6.43s
% Output : Refutation 31.17s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 3
% Syntax : Number of formulae : 12 ( 8 unt; 0 def)
% Number of atoms : 20 ( 19 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 18 ( 10 ~; 6 |; 1 &)
% ( 0 <=>; 1 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 5 avg)
% Maximal term depth : 15 ( 3 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 12 ( 12 usr; 8 con; 0-2 aty)
% Number of variables : 31 ( 28 !; 3 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f3644,axiom,
! [X0,X1,X2,X3] :
( ( s(fun(X0,X0),i(s(fun(fun(X0,X1),fun(X0,X0)),i(s(fun(fun(X1,X0),fun(fun(X0,X1),fun(X0,X0))),o),s(fun(X1,X0),X2))),s(fun(X0,X1),X3))) = s(fun(X0,X0),i1)
& s(fun(X1,X1),i(s(fun(fun(X1,X0),fun(X1,X1)),i(s(fun(fun(X0,X1),fun(fun(X1,X0),fun(X1,X1))),o),s(fun(X0,X1),X3))),s(fun(X1,X0),X2))) = s(fun(X1,X1),i1) )
=> s(fun(X0,X1),i(s(fun(fun(X1,X0),fun(X0,X1)),inverse),s(fun(X1,X0),X2))) = s(fun(X0,X1),X3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',aINVERSEu_UNIQUEu_o) ).
fof(f3649,axiom,
! [X0,X1,X2] : s(fun(X0,X0),i(s(fun(fun(X0,X0),fun(X0,X0)),i(s(fun(fun(X0,X0),fun(fun(X0,X0),fun(X0,X0))),o),s(fun(X0,X0),i(s(fun(prod(X0,X0),fun(X0,X0)),swap),s(prod(X0,X0),i(s(fun(X0,prod(X0,X0)),i(s(fun(X0,fun(X0,prod(X0,X0))),c_),s(X0,X1))),s(X0,X2))))))),s(fun(X0,X0),i(s(fun(prod(X0,X0),fun(X0,X0)),swap),s(prod(X0,X0),i(s(fun(X0,prod(X0,X0)),i(s(fun(X0,fun(X0,prod(X0,X0))),c_),s(X0,X1))),s(X0,X2))))))) = s(fun(X0,X0),i1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',aSWAPu_IDEMPOTENT) ).
fof(f3650,conjecture,
! [X0,X1,X2] : s(fun(X0,X0),i(s(fun(fun(X0,X0),fun(X0,X0)),inverse),s(fun(X0,X0),i(s(fun(prod(X0,X0),fun(X0,X0)),swap),s(prod(X0,X0),i(s(fun(X0,prod(X0,X0)),i(s(fun(X0,fun(X0,prod(X0,X0))),c_),s(X0,X1))),s(X0,X2))))))) = s(fun(X0,X0),i(s(fun(prod(X0,X0),fun(X0,X0)),swap),s(prod(X0,X0),i(s(fun(X0,prod(X0,X0)),i(s(fun(X0,fun(X0,prod(X0,X0))),c_),s(X0,X1))),s(X0,X2))))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',aINVERSEu_SWAP) ).
fof(f3651,negated_conjecture,
~ ! [X0,X1,X2] : s(fun(X0,X0),i(s(fun(fun(X0,X0),fun(X0,X0)),inverse),s(fun(X0,X0),i(s(fun(prod(X0,X0),fun(X0,X0)),swap),s(prod(X0,X0),i(s(fun(X0,prod(X0,X0)),i(s(fun(X0,fun(X0,prod(X0,X0))),c_),s(X0,X1))),s(X0,X2))))))) = s(fun(X0,X0),i(s(fun(prod(X0,X0),fun(X0,X0)),swap),s(prod(X0,X0),i(s(fun(X0,prod(X0,X0)),i(s(fun(X0,fun(X0,prod(X0,X0))),c_),s(X0,X1))),s(X0,X2))))),
inference(negated_conjecture,[status(cth)],[f3650]) ).
fof(f3973,plain,
! [X0,X1,X2,X3] :
( s(fun(X0,X1),i(s(fun(fun(X1,X0),fun(X0,X1)),inverse),s(fun(X1,X0),X2))) = s(fun(X0,X1),X3)
| s(fun(X0,X0),i1) != s(fun(X0,X0),i(s(fun(fun(X0,X1),fun(X0,X0)),i(s(fun(fun(X1,X0),fun(fun(X0,X1),fun(X0,X0))),o),s(fun(X1,X0),X2))),s(fun(X0,X1),X3)))
| s(fun(X1,X1),i1) != s(fun(X1,X1),i(s(fun(fun(X1,X0),fun(X1,X1)),i(s(fun(fun(X0,X1),fun(fun(X1,X0),fun(X1,X1))),o),s(fun(X0,X1),X3))),s(fun(X1,X0),X2))) ),
inference(ennf_transformation,[],[f3644]) ).
fof(f3974,plain,
! [X0,X1,X2,X3] :
( s(fun(X0,X1),i(s(fun(fun(X1,X0),fun(X0,X1)),inverse),s(fun(X1,X0),X2))) = s(fun(X0,X1),X3)
| s(fun(X0,X0),i1) != s(fun(X0,X0),i(s(fun(fun(X0,X1),fun(X0,X0)),i(s(fun(fun(X1,X0),fun(fun(X0,X1),fun(X0,X0))),o),s(fun(X1,X0),X2))),s(fun(X0,X1),X3)))
| s(fun(X1,X1),i1) != s(fun(X1,X1),i(s(fun(fun(X1,X0),fun(X1,X1)),i(s(fun(fun(X0,X1),fun(fun(X1,X0),fun(X1,X1))),o),s(fun(X0,X1),X3))),s(fun(X1,X0),X2))) ),
inference(flattening,[],[f3973]) ).
fof(f3975,plain,
? [X0,X1,X2] : s(fun(X0,X0),i(s(fun(prod(X0,X0),fun(X0,X0)),swap),s(prod(X0,X0),i(s(fun(X0,prod(X0,X0)),i(s(fun(X0,fun(X0,prod(X0,X0))),c_),s(X0,X1))),s(X0,X2))))) != s(fun(X0,X0),i(s(fun(fun(X0,X0),fun(X0,X0)),inverse),s(fun(X0,X0),i(s(fun(prod(X0,X0),fun(X0,X0)),swap),s(prod(X0,X0),i(s(fun(X0,prod(X0,X0)),i(s(fun(X0,fun(X0,prod(X0,X0))),c_),s(X0,X1))),s(X0,X2))))))),
inference(ennf_transformation,[],[f3651]) ).
fof(f4998,plain,
s(fun(sK55,sK55),i(s(fun(prod(sK55,sK55),fun(sK55,sK55)),swap),s(prod(sK55,sK55),i(s(fun(sK55,prod(sK55,sK55)),i(s(fun(sK55,fun(sK55,prod(sK55,sK55))),c_),s(sK55,sK56))),s(sK55,sK57))))) != s(fun(sK55,sK55),i(s(fun(fun(sK55,sK55),fun(sK55,sK55)),inverse),s(fun(sK55,sK55),i(s(fun(prod(sK55,sK55),fun(sK55,sK55)),swap),s(prod(sK55,sK55),i(s(fun(sK55,prod(sK55,sK55)),i(s(fun(sK55,fun(sK55,prod(sK55,sK55))),c_),s(sK55,sK56))),s(sK55,sK57))))))),
inference(skolemize,[status(esa),new_symbols(skolem,[sK55,sK56,sK57]),skolemize(X0,sK55),skolemize(X1,sK56),skolemize(X2,sK57)],[f3975]) ).
fof(f6592,plain,
! [X2,X3,X0,X1] :
( s(fun(X1,X1),i1) != s(fun(X1,X1),i(s(fun(fun(X1,X0),fun(X1,X1)),i(s(fun(fun(X0,X1),fun(fun(X1,X0),fun(X1,X1))),o),s(fun(X0,X1),X3))),s(fun(X1,X0),X2)))
| s(fun(X0,X0),i1) != s(fun(X0,X0),i(s(fun(fun(X0,X1),fun(X0,X0)),i(s(fun(fun(X1,X0),fun(fun(X0,X1),fun(X0,X0))),o),s(fun(X1,X0),X2))),s(fun(X0,X1),X3)))
| s(fun(X0,X1),X3) = s(fun(X0,X1),i(s(fun(fun(X1,X0),fun(X0,X1)),inverse),s(fun(X1,X0),X2))) ),
inference(cnf_transformation,[],[f3974]) ).
fof(f6601,plain,
! [X2,X0,X1] : s(fun(X0,X0),i1) = s(fun(X0,X0),i(s(fun(fun(X0,X0),fun(X0,X0)),i(s(fun(fun(X0,X0),fun(fun(X0,X0),fun(X0,X0))),o),s(fun(X0,X0),i(s(fun(prod(X0,X0),fun(X0,X0)),swap),s(prod(X0,X0),i(s(fun(X0,prod(X0,X0)),i(s(fun(X0,fun(X0,prod(X0,X0))),c_),s(X0,X1))),s(X0,X2))))))),s(fun(X0,X0),i(s(fun(prod(X0,X0),fun(X0,X0)),swap),s(prod(X0,X0),i(s(fun(X0,prod(X0,X0)),i(s(fun(X0,fun(X0,prod(X0,X0))),c_),s(X0,X1))),s(X0,X2))))))),
inference(cnf_transformation,[],[f3649]) ).
fof(f6602,plain,
s(fun(sK55,sK55),i(s(fun(prod(sK55,sK55),fun(sK55,sK55)),swap),s(prod(sK55,sK55),i(s(fun(sK55,prod(sK55,sK55)),i(s(fun(sK55,fun(sK55,prod(sK55,sK55))),c_),s(sK55,sK56))),s(sK55,sK57))))) != s(fun(sK55,sK55),i(s(fun(fun(sK55,sK55),fun(sK55,sK55)),inverse),s(fun(sK55,sK55),i(s(fun(prod(sK55,sK55),fun(sK55,sK55)),swap),s(prod(sK55,sK55),i(s(fun(sK55,prod(sK55,sK55)),i(s(fun(sK55,fun(sK55,prod(sK55,sK55))),c_),s(sK55,sK56))),s(sK55,sK57))))))),
inference(cnf_transformation,[],[f4998]) ).
fof(f11282,plain,
$false,
inference(unit_resulting_resolution,[],[f6592,f6602,f6601,f6601]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GEO482+1 : TPTP v9.3.1. Released v7.0.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.11/0.41 % Computer : n005.cluster.edu
% 0.11/0.41 % Model : x86_64 x86_64
% 0.11/0.41 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.41 % Memory : 8046.5625MB
% 0.11/0.41 % OS : Linux 6.8.0-71-generic
% 0.11/0.41 % CPULimit : 300
% 0.11/0.41 % WCLimit : 300
% 0.11/0.41 % DateTime : Sun Sep 27 08:17:18 UTC 2026
% 0.11/0.42 % CPUTime :
% 0.11/0.42 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.11/0.45 Running first-order theorem proving
% 0.11/0.45 Running: /export/starexec/sandbox2/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 10.47/3.49 % (3673288)Detected formulas, will run a generic FOF schedule.
% 10.47/3.49 % (3673296)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=407374903:i=109:sd=1:ins=1:gsp=on:ss=axioms_2988 on theBenchmark for (2988ds/109Mi)
% 10.47/3.49 % (3673296)Instruction limit reached!
% 10.47/3.49 % (3673296)------------------------------
% 10.47/3.49 % (3673296)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.47/3.49 % (3673296)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.47/3.49 % (3673296)CaDiCaL version: 2.1.3
% 10.47/3.49 % (3673296)Termination reason: Instruction limit
% 10.47/3.49 % (3673296)Termination phase: Saturation
% 10.47/3.49 % (3673296)Time elapsed: 0.034 s
% 10.47/3.49 % (3673296)Peak memory usage: 94 MB
% 10.47/3.49 % (3673296)Instructions burned: 111 (million)
% 10.47/3.49 % (3673298)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=3069541774:s2a=on:i=139:gtg=position_2988 on theBenchmark for (2988ds/139Mi)
% 10.47/3.49 % (3673297)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=1496804287:i=119:av=off:ss=axioms_2988 on theBenchmark for (2988ds/119Mi)
% 10.47/3.49 % (3673293)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=full:npcc=on:drc=off:sp=weighted_frequency:spb=goal:fd=preordered:foolp=on:random_seed=3560035029:i=141193_2988 on theBenchmark for (2988ds/141193Mi)
% 10.47/3.49 % (3673295)lrs+1010_1_anc=all:sfv=off:to=kbo:ncem=casc2026/models/loop7.pt:sil=128000:npcc=on:prc=on:sos=all:bsr=unit_only:sac=on:random_seed=1452583001:i=141695:sd=1:nm=32:gsp=on:ss=included_2988 on theBenchmark for (2988ds/141695Mi)
% 10.47/3.49 % (3673299)dis-21_1_sil=8000:lcm=predicate:random_seed=266993577:st=5:avsq=on:i=129:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_2988 on theBenchmark for (2988ds/129Mi)
% 10.47/3.49 % (3673294)lrs+11_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:lma=off:spb=units:urr=ec_only:bce=on:s2agt=64:updr=off:random_seed=2261026713:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2988 on theBenchmark for (2988ds/134677Mi)
% 10.47/3.49 % (3673298)Instruction limit reached!
% 10.47/3.49 % (3673298)------------------------------
% 10.47/3.49 % (3673298)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.47/3.49 % (3673298)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.47/3.49 % (3673298)CaDiCaL version: 2.1.3
% 10.47/3.49 % (3673298)Termination reason: Instruction limit
% 10.47/3.49 % (3673298)Termination phase: Property scanning
% 10.47/3.49 % (3673298)Time elapsed: 0.048 s
% 10.47/3.49 % (3673298)Peak memory usage: 90 MB
% 10.47/3.49 % (3673298)Instructions burned: 139 (million)
% 10.47/3.49 % (3673299)Instruction limit reached!
% 10.47/3.49 % (3673299)------------------------------
% 10.47/3.49 % (3673299)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.47/3.49 % (3673299)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.47/3.49 % (3673299)CaDiCaL version: 2.1.3
% 10.47/3.49 % (3673299)Termination reason: Instruction limit
% 10.47/3.49 % (3673299)Termination phase: SInE selection
% 10.47/3.49 % (3673299)Time elapsed: 0.060 s
% 10.47/3.49 % (3673299)Peak memory usage: 90 MB
% 10.47/3.49 % (3673299)Instructions burned: 130 (million)
% 10.47/3.49 % (3673297)Instruction limit reached!
% 10.47/3.49 % (3673297)------------------------------
% 10.47/3.49 % (3673297)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.47/3.49 % (3673297)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.47/3.49 % (3673297)CaDiCaL version: 2.1.3
% 10.47/3.49 % (3673297)Termination reason: Instruction limit
% 10.47/3.49 % (3673297)Termination phase: Preprocessing 1
% 10.47/3.49 % (3673297)Time elapsed: 0.065 s
% 10.47/3.49 % (3673297)Peak memory usage: 91 MB
% 10.47/3.49 % (3673297)Instructions burned: 119 (million)
% 10.47/3.49 % (3673301)lrs+10_1_sil=8000:sp=occurrence:random_seed=3694310035:i=285:sd=3:ss=axioms:sgt=8_2987 on theBenchmark for (2987ds/285Mi)
% 10.47/3.49 % (3673301)Instruction limit reached!
% 10.47/3.49 % (3673301)------------------------------
% 10.47/3.49 % (3673301)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.47/3.49 % (3673301)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.47/3.49 % (3673301)CaDiCaL version: 2.1.3
% 10.47/3.49 % (3673301)Termination reason: Instruction limit
% 10.47/3.49 % (3673301)Termination phase: Property scanning
% 10.47/3.49 % (3673301)Time elapsed: 0.077 s
% 10.47/3.49 % (3673301)Peak memory usage: 95 MB
% 10.47/3.49 % (3673301)Instructions burned: 291 (million)
% 17.13/4.34 % (3673309)lrs+1011_1_sil=32000:sp=occurrence:random_seed=886525570:i=325:sd=1:ss=axioms:sgt=32_2986 on theBenchmark for (2986ds/325Mi)
% 17.13/4.34 % (3673310)dis+10_5:1_slsqr=1,4:sil=8000:fde=unused:erd=off:urr=full:fd=off:s2agt=8:br=off:slsq=on:random_seed=51926116:s2a=on:i=248:s2at=1.23:gtg=position_2986 on theBenchmark for (2986ds/248Mi)
% 17.13/4.34 % (3673308)lrs+10_1_sil=32000:urr=on:br=off:random_seed=1093342899:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2986 on theBenchmark for (2986ds/157Mi)
% 17.13/4.34 % (3673312)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=3171126085:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2985 on theBenchmark for (2985ds/294Mi)
% 17.13/4.34 % (3673308)Instruction limit reached!
% 17.13/4.34 % (3673308)------------------------------
% 17.13/4.34 % (3673308)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 17.13/4.34 % (3673308)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.13/4.34 % (3673308)CaDiCaL version: 2.1.3
% 17.13/4.34 % (3673308)Termination reason: Instruction limit
% 17.13/4.34 % (3673308)Termination phase: Property scanning
% 17.13/4.34 % (3673308)Time elapsed: 0.056 s
% 17.13/4.34 % (3673308)Peak memory usage: 91 MB
% 17.13/4.34 % (3673308)Instructions burned: 159 (million)
% 17.13/4.34 % (3673310)Instruction limit reached!
% 17.13/4.34 % (3673310)------------------------------
% 17.13/4.34 % (3673310)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 17.13/4.34 % (3673310)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.13/4.34 % (3673310)CaDiCaL version: 2.1.3
% 17.13/4.34 % (3673310)Termination reason: Instruction limit
% 17.13/4.34 % (3673310)Termination phase: Property scanning
% 17.13/4.34 % (3673310)Time elapsed: 0.086 s
% 17.13/4.34 % (3673310)Peak memory usage: 91 MB
% 17.13/4.34 % (3673310)Instructions burned: 248 (million)
% 17.13/4.34 % (3673312)Instruction limit reached!
% 17.13/4.34 % (3673312)------------------------------
% 17.13/4.34 % (3673312)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 17.13/4.34 % (3673312)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.13/4.34 % (3673312)CaDiCaL version: 2.1.3
% 17.13/4.34 % (3673312)Termination reason: Instruction limit
% 17.13/4.34 % (3673312)Termination phase: Preprocessing 3
% 17.13/4.34 % (3673312)Time elapsed: 0.078 s
% 17.13/4.34 % (3673312)Peak memory usage: 96 MB
% 17.13/4.34 % (3673312)Instructions burned: 294 (million)
% 17.13/4.34 % (3673309)Instruction limit reached!
% 17.13/4.34 % (3673309)------------------------------
% 17.13/4.34 % (3673309)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 17.13/4.34 % (3673309)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.13/4.34 % (3673309)CaDiCaL version: 2.1.3
% 17.13/4.34 % (3673309)Termination reason: Instruction limit
% 17.13/4.34 % (3673309)Termination phase: Saturation
% 17.13/4.34 % (3673309)Time elapsed: 0.182 s
% 17.13/4.34 % (3673309)Peak memory usage: 97 MB
% 17.13/4.34 % (3673309)Instructions burned: 326 (million)
% 17.13/4.34 % (3673318)dis-1011_32:1_sfv=off:sil=16000:sos=all:erd=off:acc=on:fd=off:flr=on:random_seed=3074871909:cts=off:i=113:fsr=off:ss=included:sgt=4_2984 on theBenchmark for (2984ds/113Mi)
% 17.13/4.34 % (3673319)lrs-1004_1_sil=8000:sp=occurrence:sos=all:erd=off:fs=off:bce=on:random_seed=880033164:i=127:av=off:fsr=off:sup=off_2983 on theBenchmark for (2983ds/127Mi)
% 17.13/4.34 % (3673317)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=2068470044:i=2350_2984 on theBenchmark for (2984ds/2350Mi)
% 17.13/4.34 % (3673319)Instruction limit reached!
% 17.13/4.34 % (3673319)------------------------------
% 17.13/4.34 % (3673319)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 17.13/4.34 % (3673319)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.13/4.34 % (3673319)CaDiCaL version: 2.1.3
% 17.13/4.34 % (3673319)Termination reason: Instruction limit
% 17.13/4.34 % (3673319)Termination phase: Naming
% 17.13/4.34 % (3673319)Time elapsed: 0.040 s
% 17.13/4.34 % (3673319)Peak memory usage: 94 MB
% 17.13/4.34 % (3673319)Instructions burned: 129 (million)
% 17.13/4.34 % (3673318)Instruction limit reached!
% 17.13/4.34 % (3673318)------------------------------
% 17.13/4.34 % (3673318)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 17.13/4.34 % (3673318)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.13/4.34 % (3673318)CaDiCaL version: 2.1.3
% 17.13/4.34 % (3673318)Termination reason: Instruction limit
% 24.56/6.22 % (3673318)Termination phase: Preprocessing 1
% 24.56/6.22 % (3673318)Time elapsed: 0.062 s
% 24.56/6.22 % (3673318)Peak memory usage: 91 MB
% 24.56/6.22 % (3673318)Instructions burned: 113 (million)
% 24.56/6.22 % (3673320)dis-1003_1024_sil=8000:sos=all:sac=on:random_seed=3618173857:cond=fast:i=114:sd=1:nm=0:fsr=off:gtg=exists_sym:ss=axioms_2983 on theBenchmark for (2983ds/114Mi)
% 24.56/6.22 % (3673324)lrs+10_1_sil=8000:sp=occurrence:random_seed=1364488916:st=1.2:i=907:sd=14:ss=axioms:sgt=12_2982 on theBenchmark for (2982ds/907Mi)
% 24.56/6.22 % (3673320)Instruction limit reached!
% 24.56/6.22 % (3673320)------------------------------
% 24.56/6.22 % (3673320)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 24.56/6.22 % (3673320)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 24.56/6.22 % (3673320)CaDiCaL version: 2.1.3
% 24.56/6.22 % (3673320)Termination reason: Instruction limit
% 24.56/6.22 % (3673320)Termination phase: Property scanning
% 24.56/6.22 % (3673320)Time elapsed: 0.040 s
% 24.56/6.22 % (3673320)Peak memory usage: 91 MB
% 24.56/6.22 % (3673320)Instructions burned: 115 (million)
% 24.56/6.22 % (3673325)dis-1010_1_sil=16000:fde=unused:sp=occurrence:sos=on:random_seed=97175767:i=437:sd=1:aac=none:ss=included_2982 on theBenchmark for (2982ds/437Mi)
% 24.56/6.22 % (3673328)lrs-1002_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:npcc=on:random_seed=265542421:i=5202:ss=axioms:sgt=16_2981 on theBenchmark for (2981ds/5202Mi)
% 24.56/6.22 % (3673324)Instruction limit reached!
% 24.56/6.22 % (3673324)------------------------------
% 24.56/6.22 % (3673324)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 24.56/6.22 % (3673324)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 24.56/6.22 % (3673324)CaDiCaL version: 2.1.3
% 24.56/6.22 % (3673324)Termination reason: Instruction limit
% 24.56/6.22 % (3673324)Termination phase: Property scanning
% 24.56/6.22 % (3673324)Time elapsed: 0.214 s
% 24.56/6.22 % (3673324)Peak memory usage: 101 MB
% 24.56/6.22 % (3673324)Instructions burned: 913 (million)
% 24.56/6.22 % (3673325)Instruction limit reached!
% 24.56/6.22 % (3673325)------------------------------
% 24.56/6.22 % (3673325)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 24.56/6.22 % (3673325)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 24.56/6.22 % (3673325)CaDiCaL version: 2.1.3
% 24.56/6.22 % (3673325)Termination reason: Instruction limit
% 24.56/6.22 % (3673325)Termination phase: Saturation
% 24.56/6.22 % (3673325)Time elapsed: 0.224 s
% 24.56/6.22 % (3673325)Peak memory usage: 97 MB
% 24.56/6.22 % (3673325)Instructions burned: 438 (million)
% 24.56/6.22 % (3673331)dis+10_3:1_sil=8000:acc=on:urr=on:br=off:sac=on:newcnf=on:random_seed=2589014359:i=134:sd=2:doe=on:nm=16:sup=off:ss=included_2979 on theBenchmark for (2979ds/134Mi)
% 24.56/6.22 % (3673331)Instruction limit reached!
% 24.56/6.22 % (3673331)------------------------------
% 24.56/6.22 % (3673331)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 24.56/6.22 % (3673331)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 24.56/6.22 % (3673331)CaDiCaL version: 2.1.3
% 24.56/6.22 % (3673331)Termination reason: Instruction limit
% 24.56/6.22 % (3673331)Termination phase: NewCNF
% 24.56/6.22 % (3673331)Time elapsed: 0.041 s
% 24.56/6.22 % (3673331)Peak memory usage: 93 MB
% 24.56/6.22 % (3673331)Instructions burned: 138 (million)
% 24.56/6.22 % (3673333)lrs+1002_8_sil=8000:sp=occurrence:sos=on:sac=on:random_seed=1396190197:st=8:i=592:sd=3:ep=RST:ss=axioms_2978 on theBenchmark for (2978ds/592Mi)
% 24.56/6.22 % (3673334)lrs+10_1_ncem=casc2026/models/loop6.pt:sil=32000:npcc=on:random_seed=2617838760:st=3:i=13193:sd=3:ss=axioms_2978 on theBenchmark for (2978ds/13193Mi)
% 24.56/6.22 % (3673333)Instruction limit reached!
% 24.56/6.22 % (3673333)------------------------------
% 24.56/6.22 % (3673333)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 24.56/6.22 % (3673333)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 24.56/6.22 % (3673333)CaDiCaL version: 2.1.3
% 24.56/6.22 % (3673333)Termination reason: Instruction limit
% 24.56/6.22 % (3673333)Termination phase: Preprocessing 3
% 24.56/6.22 % (3673333)Time elapsed: 0.286 s
% 24.56/6.22 % (3673333)Peak memory usage: 102 MB
% 24.56/6.22 % (3673333)Instructions burned: 594 (million)
% 24.56/6.22 % (3673317)Instruction limit reached!
% 24.56/6.22 % (3673317)------------------------------
% 24.56/6.22 % (3673317)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 31.17/6.42 % (3673317)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 31.17/6.42 % (3673317)CaDiCaL version: 2.1.3
% 31.17/6.42 % (3673317)Termination reason: Instruction limit
% 31.17/6.42 % (3673317)Termination phase: Twee Goal Transformation
% 31.17/6.42 % (3673317)Time elapsed: 0.895 s
% 31.17/6.42 % (3673317)Peak memory usage: 107 MB
% 31.17/6.42 % (3673317)Instructions burned: 2352 (million)
% 31.17/6.42 % (3673337)lrs+1666_7_slsqr=4,1:sil=8000:plsq=on:plsqc=1:sos=on:urr=on:plsql=on:rp=on:alpa=false:sac=on:slsq=on:random_seed=1021313420:i=125:slsql=off:bs=unit_only:gtg=position:fdi=2:gsp=on:ss=axioms:sgt=8_2974 on theBenchmark for (2974ds/125Mi)
% 31.17/6.42 % (3673337)Instruction limit reached!
% 31.17/6.42 % (3673337)------------------------------
% 31.17/6.42 % (3673337)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 31.17/6.42 % (3673337)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 31.17/6.42 % (3673337)CaDiCaL version: 2.1.3
% 31.17/6.42 % (3673337)Termination reason: Instruction limit
% 31.17/6.42 % (3673337)Termination phase: Property scanning
% 31.17/6.42 % (3673337)Time elapsed: 0.045 s
% 31.17/6.42 % (3673337)Peak memory usage: 91 MB
% 31.17/6.42 % (3673337)Instructions burned: 127 (million)
% 31.17/6.42 % (3673338)lrs+10_1024_to=lpo:sil=8000:tgt=full:sp=arity:slsq=on:random_seed=1419610981:i=134:gtgl=5:slsql=off:gtg=exists_sym_2974 on theBenchmark for (2974ds/134Mi)
% 31.17/6.42 % (3673338)Instruction limit reached!
% 31.17/6.42 % (3673338)------------------------------
% 31.17/6.42 % (3673338)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 31.17/6.42 % (3673338)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 31.17/6.42 % (3673338)CaDiCaL version: 2.1.3
% 31.17/6.42 % (3673338)Termination reason: Instruction limit
% 31.17/6.42 % (3673338)Termination phase: Property scanning
% 31.17/6.42 % (3673338)Time elapsed: 0.047 s
% 31.17/6.42 % (3673338)Peak memory usage: 91 MB
% 31.17/6.42 % (3673338)Instructions burned: 134 (million)
% 31.17/6.42 % (3673340)lrs+10_1_sil=16000:plsq=on:plsqc=1:plsqr=32,1:sos=on:lcm=reverse:fd=off:newcnf=on:random_seed=2778923818:i=141:sd=1:gsp=on:sup=off:ss=axioms:sgt=8_2972 on theBenchmark for (2972ds/141Mi)
% 31.17/6.42 % (3673342)lrs+1011_1_sil=8000:plsq=on:sp=occurrence:fs=off:random_seed=1849670591:i=431:sd=1:fsr=off:sup=off:ss=axioms:sgt=64_2972 on theBenchmark for (2972ds/431Mi)
% 31.17/6.43 % (3673340)Refutation not found, incomplete strategy
% 31.17/6.43 % (3673340)------------------------------
% 31.17/6.43 % (3673340)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 31.17/6.43 % (3673340)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 31.17/6.43 % (3673340)CaDiCaL version: 2.1.3
% 31.17/6.43 % (3673340)Termination reason: Refutation not found, incomplete strategy
% 31.17/6.43 % (3673340)Time elapsed: 0.056 s
% 31.17/6.43 % (3673340)Peak memory usage: 95 MB
% 31.17/6.43 % (3673340)Instructions burned: 103 (million)
% 31.17/6.43 % (3673342)Refutation not found, incomplete strategy
% 31.17/6.43 % (3673342)------------------------------
% 31.17/6.43 % (3673342)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 31.17/6.43 % (3673342)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 31.17/6.43 % (3673342)CaDiCaL version: 2.1.3
% 31.17/6.43 % (3673342)Termination reason: Refutation not found, incomplete strategy
% 31.17/6.43 % (3673342)Time elapsed: 0.057 s
% 31.17/6.43 % (3673342)Peak memory usage: 95 MB
% 31.17/6.43 % (3673342)Instructions burned: 102 (million)
% 31.17/6.43 % (3673340)------------------------------
% 31.17/6.43 % (3673340)------------------------------
% 31.17/6.43 % (3673342)------------------------------
% 31.17/6.43 % (3673342)------------------------------
% 31.17/6.43 % (3673345)lrs+1010_1_ncem=casc2026/models/loop6.pt:sil=64000:tgt=full:npcc=on:prc=on:urr=ec_only:bsr=on:fd=preordered:gs=on:sac=on:newcnf=on:random_seed=4086961677:i=6060:aac=none:ins=25_2968 on theBenchmark for (2968ds/6060Mi)
% 31.17/6.43 % (3673346)lrs+10_16_anc=all:slsqr=32,1:sil=8000:avsql=on:sp=unary_frequency:lcm=predicate:urr=full:rp=on:br=off:slsqc=4:flr=on:sac=on:slsq=on:avsqc=1:random_seed=3887375237:avsq=on:s2a=on:i=150:kws=precedence:nicw=on:gsp=on:rawr=on_2967 on theBenchmark for (2967ds/150Mi)
% 31.17/6.43 % (3673346)Instruction limit reached!
% 31.17/6.43 % (3673346)------------------------------
% 31.17/6.43 % (3673346)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 31.17/6.43 % (3673346)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 31.17/6.43 % (3673346)CaDiCaL version: 2.1.3
% 31.17/6.43 % (3673346)Termination reason: Instruction limit
% 31.17/6.43 % (3673346)Termination phase: Preprocessing 1
% 31.17/6.43 % (3673346)Time elapsed: 0.085 s
% 31.17/6.43 % (3673346)Peak memory usage: 92 MB
% 31.17/6.43 % (3673346)Instructions burned: 152 (million)
% 31.17/6.43 % (3673349)lrs+1010_1_ncem=casc2026/models/loop8.pt:sil=64000:tgt=ground:npcc=on:sp=arity:urr=on:random_seed=1835813864:i=14155:bd=all_2965 on theBenchmark for (2965ds/14155Mi)
% 31.17/6.43 % (3673328)Instruction limit reached!
% 31.17/6.43 % (3673328)------------------------------
% 31.17/6.43 % (3673328)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 31.17/6.43 % (3673328)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 31.17/6.43 % (3673328)CaDiCaL version: 2.1.3
% 31.17/6.43 % (3673328)Termination reason: Instruction limit
% 31.17/6.43 % (3673328)Termination phase: Saturation
% 31.17/6.43 % (3673328)Time elapsed: 2.933 s
% 31.17/6.43 % (3673328)Peak memory usage: 245 MB
% 31.17/6.43 % (3673328)Instructions burned: 5203 (million)
% 31.17/6.43 % (3673294)First to succeed.
% 31.17/6.43 % (3673294)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-3673288"
% 31.17/6.43 % (3673334)Also succeeded, but the first one will report.
% 31.17/6.43 % (3673351)lrs+10_1024_sil=16000:plsq=on:plsqr=32,1:sos=all:fs=off:gs=on:newcnf=on:random_seed=1300663999:i=667:av=off:fsr=off_2950 on theBenchmark for (2950ds/667Mi)
% 31.17/6.43 % (3673294)Refutation found. Thanks to Tanya!
% 31.17/6.43 % SZS status Theorem for theBenchmark
% 31.17/6.43 % SZS output start Proof for theBenchmark
% See solution above
% 31.17/6.43 % (3673294)------------------------------
% 31.17/6.43 % (3673294)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 31.17/6.43 % (3673294)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 31.17/6.43 % (3673294)CaDiCaL version: 2.1.3
% 31.17/6.43 % (3673294)Termination reason: Refutation
% 31.17/6.43 % (3673294)Time elapsed: 3.703 s
% 31.17/6.43 % (3673294)Peak memory usage: 272 MB
% 31.17/6.43 % (3673294)Instructions burned: 6803 (million)
% 31.17/6.43 % (3673294)------------------------------
% 31.17/6.43 % (3673294)------------------------------
% 31.17/6.43 % (3673288)Success in time 5.333 s
% 31.17/6.43 % Vampire exiting
%------------------------------------------------------------------------------